Question

1. Which function represents exponential decay?

y= 4^0.3t
y= 7^-t
y= (1/3)^-t
y= 1.5^2t
Justify your response.

Answer 1

y= 7^-t

Explanation:

Equation for exponential decay:

An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.

In this question:

First option 4 is elevated, so not exponential decay.

Second option:

`7^(-t) = (1)/(7^t) = ((1)/(7))^(t)`

`0 < (1)/(7) < 1`, thus, the second option represents exponential decay.